Induced cycles in crossing graphs of median graphs

Discrete Mathematics

Volumn 309, Issue 23-24, 2009, Pages 6585-6589

  Klavžar, Sandi ^a,b   Kovše, Matjaž ^b  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

(Convex) expansion; Cogwheel; Crossing graph; Median graph; Partial cube

Indexed keywords

(CONVEX) EXPANSION; COGWHEEL; CROSSING GRAPH; MEDIAN GRAPH; PARTIAL CUBE;

CROSSINGS (PIPE AND CABLE); EQUIVALENCE CLASSES; GEOMETRY; SET THEORY;

GRAPH THEORY;

EID: 70350590725     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2009.07.003     Document Type: Article

References (19)

1. Bandelt H.-J., and Chepoi V. Graphs of acyclic cubical complexes. European J. Combin. 17 (1996) 113-120
2. Bandelt H.-J., and Dress A.W.M. A canonical decomposition theory for metrics on a finite set. Adv. Math. 92 (1992) 47-105
3. Brešar B., and Klavžar S. Crossing graphs as joins of graphs and Cartesian products of median graphs. SIAM J. Discrete Math. 21 (2007) 26-32
4. Brešar B., Klavžar S., and Škrekovski R. Roots of cube polynomials of median graphs. J. Graph Theory 52 (2006) 37-50
5. B. Brešar, T. Kraner Šumenjak, Θ-graphs of partial cubes and strong edge colorings, Ars Combin. (in press)
6. Brešar B., and Tepeh Horvat A. Crossing graphs of fiber-complemented graphs. Discrete Math. 308 (2008) 1176-1184
7. Chepoi V.D. Isometric subgraphs of Hamming graphs and d-convexity. Kibernetika (Kiev) 1 (1988) 6-9
8. Djoković D. Distance preserving subgraphs of hypercubes. J. Combin. Theory Ser. B 14 (1973) 263-267
9. Eppstein D. The lattice dimension of a graph. European J. Combin. 26 (2005) 585-592
10. Klavžar S., and Kovše M. Partial cubes and their τ-graphs. European J. Combin. 28 (2007) 1037-1042
11. Klavžar S., and Kovše M. On Θ-graphs of partial cubes. Discuss. Math. Graph Theory 27 (2007) 313-321
12. Klavžar S., and Mulder H.M. Partial cubes and crossing graphs. SIAM J. Discrete Math. 15 (2002) 235-251
13. Klavžar S., and Shpectorov S. Tribes of cubic partial cubes. Discrete Math. Theor. Comput. Sci. 9 (2007) 273-291
14. McMorris F.R., Mulder H.M., and Roberts F.R. The median procedure on median graphs. Discrete Appl. Math. 84 (1998) 165-181
15. Mulder H.M. The structure of median graphs. Discrete Math. 24 (1978) 197-204
16. Mulder H.M. The Interval Function of a Graph. Math. Centre Tracts vol. 132 (1980), Mathemtatisch Centrum, Amsterdam
17. Peterin I. A characterization of planar median graphs. Discuss. Math. Graph Theory 26 (2006) 41-48
18. Vesel A. Characterization of resonance graphs of catacondensed hexagonal graphs. MATCH Commun. Math. Comput. Chem. 53 (2005) 195-208
19. Winkler P. Isometric embeddings in products of complete graphs. Discrete Appl. Math. 7 (1984) 221-225